International Journal of Modern Physics B
PSEUDO-INVARIANT EIGEN-OPERATOR METHOD FOR TWO GENERALIZED JAYNES–CUMMINGS MODELS
Hong-Yi Fan, Weijun Gui, JIA-ZHANG GUI
Abstract
We develop the invariant eigen-operator (IEO) theory proposed in the preceding study (Phys. Lett. A321 (2004) 75) to the pseudo-invariant eigen-operator (PIEO) method, with which we derive energy-level gap of two generalized Jaynes–Cummings models. The PIEO usually exists in some Hilbert space which is spanned by the eigenvectors of conservative quantities of the dynamic system.